Peter Kuchment

Mathematical Physics · 2001–2015

A researcher in the Science corpus: 15 papers; trusts 38 researchers and is trusted by 50 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 46 citations into it; #770 of 8,562 by trust here, #831 by citations
• Computational Theory and Mathematics — 37 citations into it; #8,967 of 12,182 by trust here, #5,954 by citations
• Biomedical Engineering — 16 citations into it; #4,932 of 10,734 by trust here, #7,436 by citations
• Atomic and Molecular Physics, and Optics — 13 citations into it; #2,136 of 7,135 by trust here, #3,995 by citations
• Geometry and Topology — 13 citations into it; #3,125 of 7,422 by trust here, #2,689 by citations
• Statistical and Nonlinear Physics — 13 citations into it; #845 of 10,127 by trust here, #2,370 by citations
• Applied Mathematics — 12 citations into it
• Radiology, Nuclear Medicine and Imaging — 12 citations into it; #3,221 of 3,265 by trust here, #2,754 by citations

Whom Peter Kuchment trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Pavel Kurasov
2. Michael Solomyak
3. Bogdan Andrei Bernevig
4. Lihong V. Wang
5. Minghua Xu
6. Robert Carlson
7. Sergio Albeverio
8. Robert S. Strichartz
9. Mikhail I. Belishev
10. M. Katsnelson

Who trusts Peter Kuchment overall

1. Henri Berestycki
2. François Hamel
3. Grégoire Nadin
4. Konstantin Pankrashkin
5. Pavel Kurasov
6. Olli Hyvärinen
7. Olaf Post
8. Mridul Aanjaneya
9. Simone Dovetta
10. Yihong Du

Papers from Peter Kuchment's perspective

Ordered by how strongly the researchers Peter Kuchment trusts endorse each paper. Same corpus, a different order for every researcher.

1. Method of Modern Mathematical Physics
2. Perturbation theory for linear operators
3. Introduction to Quantum Graphs
4. Boundary spectral inverse problem on a class of graphs (trees) by the BC method
5. Hermitian symplectic geometry and extension theory
6. Time-domain reconstruction for thermoacoustic tomography in a spherical geometry (IEEE Transactions on Medical Imaging)
7. Theory of linear operators in Hilbert space
8. Photoacoustic imaging in biomedicine
9. Can one hear the shape of a graph
10. The analysis of linear partial differential operators

Their papers

• Mathematics of thermoacoustic tomography (2007) — 355 citations
• Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media (2008) — 350 citations
• Asymptotics of spectra of Neumann Lapla-cians in thin domains (2003) — 67 citations
• Convergence of Spectra of Mesoscopic Systems Collapsing onto a Graph (2001) — 136 citations
• An overview of periodic elliptic operators (2015) — 276 citations
• Introduction to Quantum Graphs (2012) — 1,016 citations
• Analysis on graphs and its applications (2008) — 240 citations
• Homogeneous trees of second order Sturm-Liouville equations: A general theory and program (2008) — 139 citations
• On the Spectra of Carbon Nano-Structures (2006) — 200 citations
• Quantum Graphs and Their Applications (2006) — 182 citations
• Quantum graphs: I. Some basic structures (2004) — 649 citations
• Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs (2004) — 279 citations
• Waves in Periodic and Random Media (2003) — 221 citations
• Graph models for waves in thin structures (2002) — 295 citations
• On the structure of spectra of periodic elliptic operators (2001) — 49 citations